x2+3.75x+0.875=0

Solution for x2+3.75x+0.875=0 equation:

x2+3.75x+0.875=0

We add all the numbers together, and all the variables

x^2+3.75x+0.875=0

a = 1; b = 3.75; c = +0.875;
Δ = b2-4ac
Δ = 3.752-4·1·0.875
Δ = 10.5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3.75)-\sqrt{10.5625}}{2*1}=\frac{-3.75-\sqrt{10.5625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.75)+\sqrt{10.5625}}{2*1}=\frac{-3.75+\sqrt{10.5625}}{2}
$